Universal graded Lie algebras
نویسندگان
چکیده
منابع مشابه
Many Boson Realizations of Universal Nonlinear W∞-Algebras, Modified KP Hierarchies and Graded Lie Algebras
An infinite number of free field realizations of the universal nonlinear Ŵ (N) ∞ (Ŵ (N) 1+∞) algebras, which are identical to the KP Hamiltonian structures, are obtained in terms of p plus q scalars of different signatures with p − q = N . They are generalizations of the Miura transformation, and naturally give rise to the modified KP hierarchies via corresponding realizations of the latter. Th...
متن کاملGraded Lie Algebras of Maximal Class Ii
We describe the isomorphism classes of infinite-dimensional graded Lie algebras of maximal class over fields of odd characteristic.
متن کاملGraded Lie Algebras of Maximal Class Iv
We describe the isomorphism classes of certain infinite-dimensional graded Lie algebras of maximal class, generated by an element of weight one and an element of weight two, over fields of odd characteristic.
متن کاملCohomology and Deformations in Graded Lie Algebras
Introduction. In an address to the Society in 1962, one of the authors gave an outline of the similarities between the deformations of complex-analytic structures on compact manifolds on one hand, and the deformations of associative algebras on the other. The first theory had been stimulated in 1957 by a paper [7] by NijenhuisFrölicher and extensively developed in a series of papers by KodairaS...
متن کاملDeformation theory via differential graded Lie algebras
This is an expository paper written in 1999 and published in Seminari di Geometria Algebrica 1998-1999, Scuola Normale Superiore (1999). Six years later some arguments used here appear quite naive and obsolete but, in view of the several citations that this paper has obtained in the meantime, I preferred don’t change the mathematical contents and to fix only some typos and minor mistakes. For a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1992
ISSN: 0021-8693
DOI: 10.1016/0021-8693(92)90042-k